Mixed supertableaux of the superunitary groups. II. SU(n‖m)

DOI10.1063/1.526904zbMath0568.22012OpenAlexW4244977371MaRDI QIDQ3684328

Michel Gourdin, Francois Delduc

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526904

zbMATH Keywords

tensor representationsYoung supertableauxKac- Dynkin parameterssuperunitary groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (10)

Relation between the supertableaux of the supergroups OSP(2‖2) and SU(1‖2) ⋮ Irreducible finite-dimensional representations of Lie superalgebras gl(n,1) in the Gel'fand-Tsetlin basis ⋮ Superunitary reduction of the orthosymplectic supertableaux ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations ⋮ Classification and interpretation of the supertableaux of the orthosymplectic groups OSP(m‖4) ⋮ Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typical representations ⋮ Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. II. Nontypical representations ⋮ The generalized atypical supertableaux of the orthosymplectic groups OSP(2‖2p) ⋮ Unnamed Item

Cites Work

• Irreducible representations of SU(m/n)
• Representations of supergroups
• Kac–Dynkin diagrams and supertableaux
• Mixed supertableaux of the superunitary groups. I. SU(n‖1)
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Lie superalgebras

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